Exhaustive Ghost Solutions to Einstein-Weyl Equations for Two Dimensional Spacetimes

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Exhaustive ghost solutions to Einstein-Weyl equations for two dimensional spacetimes are obtained, where the ghost neutrinos propagate in the background spacetime, but do not influence the background spacetime due to the vanishing stress-energy-momentum tensor for the ghost neutrinos. Especially, those non-trivial ghost solutions provide a counterexample to the traditional claim that the Einstein-Hilbert action has no meaningful two dimensional analogue.
10 pages, errors in Section 1 and typos in Appendix corrected

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/35026

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0409019
 http://arxiv.org/abs/gr-qc/0409019

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arXiv